An Introduction to Partial Differential Equations

Yehuda Pinchover, Jacob Rubinstein

380 pages, parution le 19/05/2005

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Résumé

A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students whilst extended solution sets are available to lecturers from solutions@cambridge.org.

Many worked examples and exercises, with extended solutions available for lecturers from solutions@cambridge.org
An undergraduate textbook which bridges the gap between introductory and advanced courses on differential equations
Designed for students with a range of abilities

L'auteur - Yehuda Pinchover

Yehuda Pinchover : Technion - Israel Institute of Technology, Haifa

L'auteur - Jacob Rubinstein

Jacob Rubinstein : Indiana University

Sommaire

Introduction
First-order equations
Second-order linear equations
The 1D wave equation
Separation of variables
Sturm-Liouville problem
Elliptic equations
Green's function and integral representation
Equations in high dimensions
Variational methods
Numerical methods
Solutions of odd-numbered problems

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Yehuda Pinchover, Jacob Rubinstein
Parution	19/05/2005
Nb. de pages	380
Format	17,5 x 25
Couverture	Broché
Poids	770g
Intérieur	Noir et Blanc
EAN13	9780521613231
ISBN13	978-0-521-61323-1